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Finding the Third Proportional to 251,796 and 515,227.50

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Solution

The third proportional to 251,796 and 515,227.50 is: 1,054,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,796 : 515,227.50 = 515,227.50 : x
  2. Step 2: Convert to fraction form
    251,796/515,227.50 = 515,227.50/x
  3. Step 3: Cross multiply
    251,796x = 515,227.50 × 515,227.50
  4. Step 4: Simplify right side
    251,796x = 265,459,376,756.25
  5. Step 5: Solve for x
    x = 265,459,376,756.25/251,796
  6. Step 6: Final answer
    x = 1,054,263.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.